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Finding the Fourth Proportional to 6,412.32, 9,622.32 and 2,308.64

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Solution

The fourth proportional to 6,412.32, 9,622.32 and 2,308.64 is: 3,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.32 : 9,622.32 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    6,412.32/9,622.32 = 2,308.64/x
  3. Step 3: Cross multiply
    6,412.32x = 9,622.32 × 2,308.64
  4. Step 4: Simplify right side
    6,412.32x = 22,214,472.84
  5. Step 5: Solve for x
    x = 22,214,472.84/6,412.32
  6. Step 6: Final answer
    x = 3,464.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.